a + b + c = 109,000
b = 2a
c = a - 15,000
a + (2a) + (a - 15,000) = 109,000
4a - 15,000 = 109,000
4a = 109,000 + 15,000
4a = 124,000
a = 124,000/4
a = 31,000
b = 2a
b = 2(31,000)
b = 62,000 <==== candidate b received 62,000 votes
c = a - 15,000
c = 31,000 - 15,000
c = 16,000